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A force produces an acceleration of 1.5m/s^2 in a Disk. Three such Disks are tied together and the same force is applied on the combination. What will be the acceleration?
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A force produces an acceleration of 1.5m/s^2 in a Disk. Three such Dis...
Calculation of Acceleration for Three Disks Tied Together
To determine the acceleration of the three disks tied together when the same force is applied, we can use the principle of Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
Given Data:
- Acceleration produced by one disk (a): 1.5 m/s^2
- Number of disks tied together (n): 3
Calculation:
- Since the force produces an acceleration of 1.5 m/s^2 in one disk, the force required to produce this acceleration can be calculated using the formula: F = ma, where F is the force, m is the mass, and a is the acceleration.
- Let's assume the mass of one disk as m1. Therefore, the force required for one disk is F1 = m1 * 1.5.
- When three disks are tied together, the total mass becomes 3m1, and the force required for the combination of three disks will be F_total = 3m1 * 1.5.
- Now, to find the acceleration of the three disks tied together, we use the formula a_total = F_total / (3m1).
- Simplifying the equation, we get a_total = 1.5 m/s^2.
Therefore, the acceleration of the three disks tied together when the same force is applied will also be 1.5 m/s^2. This is because the force required to produce a certain acceleration is independent of the number of disks tied together as long as the total mass remains the same.
To determine the acceleration of the three disks tied together when the same force is applied, we can use the principle of Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
Given Data:
- Acceleration produced by one disk (a): 1.5 m/s^2
- Number of disks tied together (n): 3
Calculation:
- Since the force produces an acceleration of 1.5 m/s^2 in one disk, the force required to produce this acceleration can be calculated using the formula: F = ma, where F is the force, m is the mass, and a is the acceleration.
- Let's assume the mass of one disk as m1. Therefore, the force required for one disk is F1 = m1 * 1.5.
- When three disks are tied together, the total mass becomes 3m1, and the force required for the combination of three disks will be F_total = 3m1 * 1.5.
- Now, to find the acceleration of the three disks tied together, we use the formula a_total = F_total / (3m1).
- Simplifying the equation, we get a_total = 1.5 m/s^2.
Therefore, the acceleration of the three disks tied together when the same force is applied will also be 1.5 m/s^2. This is because the force required to produce a certain acceleration is independent of the number of disks tied together as long as the total mass remains the same.
Community Answer
A force produces an acceleration of 1.5m/s^2 in a Disk. Three such Dis...
Acceleration is 0.5m/ssquare
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A force produces an acceleration of 1.5m/s^2 in a Disk. Three such Disks are tied together and the same force is applied on the combination. What will be the acceleration?
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A force produces an acceleration of 1.5m/s^2 in a Disk. Three such Disks are tied together and the same force is applied on the combination. What will be the acceleration? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A force produces an acceleration of 1.5m/s^2 in a Disk. Three such Disks are tied together and the same force is applied on the combination. What will be the acceleration? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A force produces an acceleration of 1.5m/s^2 in a Disk. Three such Disks are tied together and the same force is applied on the combination. What will be the acceleration?.
A force produces an acceleration of 1.5m/s^2 in a Disk. Three such Disks are tied together and the same force is applied on the combination. What will be the acceleration? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A force produces an acceleration of 1.5m/s^2 in a Disk. Three such Disks are tied together and the same force is applied on the combination. What will be the acceleration? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A force produces an acceleration of 1.5m/s^2 in a Disk. Three such Disks are tied together and the same force is applied on the combination. What will be the acceleration?.
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